On the surjectivity of weighted Gaussian maps
Algebraic Geometry
2013-09-09 v3
Abstract
We study the surjectivity of suitable weighted Gaussian maps which provide a natural generalization of the standard Gaussian maps and encode the local geometry of the locus of curves endowed with a higher root of the canonical bundle having associated linear system of dimension at least r + 1. In particular, we get a bound on the dimension of its Zariski tangent space, which turns out to be sharp in the special case r = 0. Finally, we describe this locus in the case of complete intersection curves.
Cite
@article{arxiv.1306.0787,
title = {On the surjectivity of weighted Gaussian maps},
author = {Edoardo Ballico and Letizia Pernigotti},
journal= {arXiv preprint arXiv:1306.0787},
year = {2013}
}
Comments
Revised version, 8 pages, to appear on Rend. Mat. Circ. Palermo (2)